Theorems · Theorem · commutative algebra
Ideal.ringChar_quot
∀ {S : Type u_2} [inst : CommRing S] (I : Ideal S), ringChar (S ⧸ I) = Ideal.absNorm (Ideal.under ℤ I)- Defined in
- Mathlib.RingTheory.Ideal.Int
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Idealstatement and proof · cited by 4,748
- HasQuotient.Quotientstatement and proof · cited by 2,301
- MonoidWithZeroHomstatement · cited by 704
- Int.cast_natCastproof · cited by 393
- Ideal.understatement and proof · cited by 170
- Ideal.absNormstatement and proof · cited by 123
- Ideal.Quotient.eq_zero_iff_memproof · cited by 74
- ringCharstatement · cited by 73
- ringChar.eq_iffproof · cited by 6
- Int.cast_mem_ideal_iffproof · cited by 3
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